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Flops, Gromov-Witten Invariants and Symmetries of Line Bundle Cohomology on Calabi-Yau Three-folds

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arxiv 2010.06597 v1 pith:LD4SSC5Z submitted 2020-10-13 hep-th math.AG

Callum R. Brodie , Andrei Constantin , Andre Lukas This is my paper
classification hep-thmath.AG
keywords calabi-yaucohomologythree-foldsbundlegromov-witteninvariantslinepicard
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The zeroth line bundle cohomology on Calabi-Yau three-folds encodes information about the existence of flop transitions and the genus zero Gromov-Witten invariants. We illustrate this claim by studying several Picard number 2 Calabi-Yau three-folds realised as complete intersections in products of projective spaces. Many of these manifolds exhibit certain symmetries on the Picard lattice which preserve the zeroth cohomology.

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Cited by 1 Pith paper

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  1. Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study

    hep-th 2025-07 conditional novelty 5.0 of 10

    Explicit heterotic line bundle models on a Calabi-Yau threefold are fitted to reproduce Standard Model quark and charged lepton masses and CKM mixing.

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